Bisectors
True or False: If T is the midpoint of SR, then S, T, and R are collinear points
True
Area of a square
A = S2
Write the negation of the statement: Either a > 25 or b > 25
a ≤ 25 and b ≤ 25
Simplifying polynomial expressions: A rectangle with a base of y + 5 and a height of x -7
y2 + 12y + 35
Find the surface area of a cube with a length of 4 meters
96m2
CD is a straight line, create a bisector of CD
Cross-like graph (+) (page100)
Area of a triangle
A = 1/2bh
Contrapositive: If x > 10, then 3x > 30
If 3x ≤ 30, then x ≤ 10
Area: A trapezoid with bases of 32in. and 14in. and a height of 25in.
575in2
Find the surface area of a right circular cylinder with a diameter of 12 in. and a height of 29in.
420π in2 = 1319.5 in2
Find the coordinate of J if the coordinate of the midpoint of JK is 12 and the coordinate of K is -4
j = 28
Area of rhombus
A = 1/2d1d2
Which two statements are contradictions:
p: Lines j and k intersect
q: Lines j ad k are coplanar
r: Lines j and k are parallel
p, r
(pg. 230)
Find the perimeter and area of a square if a diagonal measures 8cm.
p=16√ 2 cm / 22.6 cm.
A= 32cm2
Find the lateral surface area of a right circular cylinder with a diameter of 10√ 3ft. and a height of 27ft.
270√ 3π ft2 = 1469.2ft2
Find the coordinates of the endpoints of CE if the coordinate of its midpoint D is -38 and CD = 91
-129 and 53
The measurement of a 45-45-90 triangle
l, l√ 2
State whether its contradictory or not:
△ XYZ is equilateral
△XYZ is isosceles
Not a contradiction; Both are true if the triangle is equilateral
Area with vertices: P(2,2); Q(5,-1); R(2,-4); S(-1,-1)
18u2
A triangular prism whose volume is 468cm3 has a base area of 52cm2. Find the height and volume a hexagonal prism with the same height and a base area of 52cm2
Height = 9cm
Volume = 468cm3
State the converse of the Midpoint Theorem and whether it is true or False
If AM = 1/2AB, then M is the midpoint of AB
False
The measurement of 30-60-90 triangle
x, 2x, x√ 3
Write the initial assumption for the indirect proof of each statement:
If a car has antilock brakes, it will not make skid marks on the pavement
Assume that the car skid marks on the pavement
Find the length of the apothem and the area of an equilateral triangle with 7in. sides.
a= (7√ 3)/6 in. = 2.0 in.
A cone is placed inside a cube so that the base of the cone is inscribed in a face of the cube and the cone's vertex is the center of the opposite face. If the cube has a volume of 729in3 what is the height, radius, and volume of the cone?
H = 9in
R = 4.5in
V = 60.75π in3 = 190.85in3